{"created":"2023-05-25T05:23:23.711879+00:00","id":857,"links":{},"metadata":{"_buckets":{"deposit":"74c3c36b-350c-4b16-8895-d0610dc358b9"},"_deposit":{"created_by":3,"id":"857","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"857"},"status":"published"},"_oai":{"id":"oai:yamagata.repo.nii.ac.jp:00000857","sets":["34:36"]},"author_link":["3665","3664"],"item_3_alternative_title_18":{"attribute_name":"その他の言語のタイトル","attribute_value_mlt":[{"subitem_alternative_title":"解析学における反例-関数の凸性に関連して"}]},"item_3_alternative_title_19":{"attribute_name":"タイトル（ヨミ）","attribute_value_mlt":[{"subitem_alternative_title":"カイセキガク ニオケル ハンレイ カンスウ ノ トツセイ ニ カンレン シテ"}]},"item_3_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1983-01-20","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"303","bibliographicPageStart":"299","bibliographicVolumeNumber":"17","bibliographic_titles":[{"bibliographic_title":"山形大学紀要.工学"}]}]},"item_3_description_42":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"subitem_description":"論文(Article)","subitem_description_type":"Other"}]},"item_3_description_5":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"Abstract　We give negative examples to the following plausible statements:　I. Pointwise product of two positive, strictly convex functions is convex.　II. If ω(δ), ω(0) = 0, is a monotone increasing function which satisfies the ”Δ_2-condition” (ω(2δ)=O(ω(δ))), then, as δ>0 tends to 0, ω(δ)≠O(δ) implies ω(δ)/δ->∞.　Additional conditions validating these statements are also shown.　　次の2つの命題に対して反例を与える。　I　正値凸関数の点ごとの積は凸関数である。　II ω（δ）が，原点でOとなり，Δ_2－条件をみたす増加関数であるとき，δ>OがOに近づくに際してω（δ）≠ω（O）であれば，ω（δ）/δ→∞である。　　これらの命題が正当になる付帯条件も述べる。","subitem_description_type":"Other"}]},"item_3_full_name_3":{"attribute_name":"著者別名","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"3665","nameIdentifierScheme":"WEKO"}],"names":[{"name":"渡利,  千波"}]}]},"item_3_publisher_32":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"山形大学"}]},"item_3_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN00242991","subitem_source_identifier_type":"NCID"}]},"item_3_text_33":{"attribute_name":"出版者（ヨミ）","attribute_value_mlt":[{"subitem_text_value":"ヤマガタ ダイガク"}]},"item_3_text_34":{"attribute_name":"別言語の出版者","attribute_value_mlt":[{"subitem_text_value":"Yamagata University"}]},"item_3_text_43":{"attribute_name":"資源タイプ・ローカル","attribute_value_mlt":[{"subitem_text_value":"紀要論文"}]},"item_3_text_44":{"attribute_name":"資源タイプ・NII","attribute_value_mlt":[{"subitem_text_value":"Departmental Bulletin Paper"}]},"item_3_text_45":{"attribute_name":"資源タイプ・DCMI","attribute_value_mlt":[{"subitem_text_value":"text"}]},"item_3_text_46":{"attribute_name":"資源タイプ・ローカル表示コード","attribute_value_mlt":[{"subitem_text_value":"2"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Watari,  Chinami"}],"nameIdentifiers":[{"nameIdentifier":"3664","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2015-08-21"}],"displaytype":"detail","filename":"kiyoue-17-2-09.pdf","filesize":[{"value":"167.2 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"kiyoue-17-2-09.pdf","url":"https://yamagata.repo.nii.ac.jp/record/857/files/kiyoue-17-2-09.pdf"},"version_id":"3b67dd75-6d7c-4446-bf63-083cd8f41057"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Negative Examples in Mathematical Analysis Related to Convexity Properties of Functions","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Negative Examples in Mathematical Analysis Related to Convexity Properties of Functions"}]},"item_type_id":"3","owner":"3","path":["36"],"pubdate":{"attribute_name":"公開日","attribute_value":"2007-09-06"},"publish_date":"2007-09-06","publish_status":"0","recid":"857","relation_version_is_last":true,"title":["Negative Examples in Mathematical Analysis Related to Convexity Properties of Functions"],"weko_creator_id":"3","weko_shared_id":-1},"updated":"2023-05-25T07:10:47.066761+00:00"}